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Finding the Fourth Proportional to 83,502.80, 115,238.28 and 45,778.64

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Solution

The fourth proportional to 83,502.80, 115,238.28 and 45,778.64 is: 63,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.80 : 115,238.28 = 45,778.64 : x
  2. Step 2: Convert to fraction form
    83,502.80/115,238.28 = 45,778.64/x
  3. Step 3: Cross multiply
    83,502.80x = 115,238.28 × 45,778.64
  4. Step 4: Simplify right side
    83,502.80x = 5,275,451,734.34
  5. Step 5: Solve for x
    x = 5,275,451,734.34/83,502.80
  6. Step 6: Final answer
    x = 63,176.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.